z and w are two nonzero complex numbers such that | z | = | w | and Arg z + Arg w = π then z equals

Complex Numbers and Quadratic Equations: JEE Main 2002 Mathematics question

JEE Main 2002 · Annual, Paper 1 · Q3205

JEE Main 2002Annual, Paper 1MathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

z and w are two nonzero complex numbers such that

\,\left| z \right| = \left| w \right|

and Arg z + Arg w =

\pi

then z equals

JEE Main 2002 · Annual, Paper 1 · Q3205

JEE Main 2002Annual, Paper 1MathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

z and w are two nonzero complex numbers such that

\,\left| z \right| = \left| w \right|

and Arg z + Arg w =

\pi

then z equals